substrate_model
Recognition Science defines the substrate model as true to encode that dark matter functions as ledger carrier rather than WIMP particles. Experimental physicists reconciling DAMA/LIBRA modulation with null results from XENON, LUX, and PandaX would cite this flag. The definition is a direct constant assignment of the Boolean true with no computation or lemmas involved.
claimThe substrate model holds: dark matter is the ledger carrier, not weakly interacting massive particles.
background
The DAMA/LIBRA module analyzes annual modulation data under Recognition Science, where dark matter is treated as the substrate (ledger carrier) rather than particles. This yields the prediction of zero WIMP signals in direct detection, consistent with null results at XENON/LUX/PandaX while attributing DAMA modulation to systematics such as temperature or radon. The local setting rests on the RS hypothesis that dark matter emerges from recognition processes, with the substrate model serving as the base flag for null predictions.
proof idea
The declaration is a direct constant definition assigning true to the substrate model flag. No lemmas or tactics are applied; it functions as the base value for reflexivity reductions in dependent theorems.
why it matters in Recognition Science
This definition anchors the RS interpretation of DAMA/LIBRA data by fixing the substrate model flag. It feeds directly into substrate_predicts_null and no_wimp_expected, which interpret XENON/LUX null results as support for non-particle dark matter. The placement aligns with the framework's treatment of dark matter as substrate (consistent with the forcing chain T0-T8 and emergence from recognition), closing the experimental prediction loop for direct detection.
scope and limits
- Does not compute modulation amplitudes or statistical significances.
- Does not incorporate detector-specific responses or environmental parameters.
- Does not derive the annual phase or velocity-dependent effects.
Lean usage
theorem no_wimp_expected : substrate_model = true := substrate_predicts_nullformal statement (Lean)
81def substrate_model : Bool := true
proof body
Definition body.
82
83/-- **THEOREM EA-005.3**: Substrate model predicts null results.
84 No WIMPs → all direct detection experiments = zero signal. -/